Originally posted by Harvey
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Harvey,
You seem to be making the same common mistake prevalent among mathematicians, who equate math with physics. In physics, you cannot use an arbitrary variable to parametrize change, it's bad practice that leads to all sorts of misunderstandings.
Math is a unit-less system. For example, the coordinates of a point are just numbers. Nothing in the system identifies its physical relevance. The axis could represent anything from temperature to distance to loudness. Asserting that one coordinate is a function of another does not express change or motion. It assumes A Priori existence of change and describes how the evolution (change) of one coordinate is related to or dependent upon the evolution of another.
Physics teaches the importance for units of measurements. Time is measured in seconds and distance is measured in meters for a reason. The reason has to do with their identity or meaning. It is also important to note that, in physics, motion is not defined as a function of an independent variable called time. On the contrary, it is time that is a dependent function of motion/change. Motion/change is observed and a time interval is abstractly derived.
Time itself is never observed; it is abstract. The derivation of time from motion is precisely given: the faster the change, the smaller the interval.
It is for this reason that time is the denominator in the equation of velocity (v = dx/dt).
The derived interval can be calibrated and serve as a parameter with which to compare the rate of change of one phenomenon to that of another.
In physics there is only one valid evolution (change) parameter: time.
Time is a dependent parameter and is expressed in seconds so as to distinguish it from other variables. If a parameter is not measured in seconds, it is not parameterizing any sort of change or motion. The definition of change/motion is a very rigorous one and must not be tampered with so as to fit crackpot ideas like space-time and time-travel.
Moving in spacetime is impossible because it requires motion in time and motion in time is self-referential.
Moving in spacetime is impossible because an evolution parameter (time) cannot be its own evolution parameter.
ref: The End of Time, Julian Barbour
ref: Louis Savain
Schpankme
“We all have our time machines. Some take us back, they're called memories. Some take us forward, they're called dreams.” - Jeremy Irons
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